339940305936 has 405 divisors, whose sum is σ = 1218369642399. Its totient is φ = 88156252800.

The previous prime is 339940305907. The next prime is 339940305937. The reversal of 339940305936 is 639503049933.

It is a happy number.

The square root of 339940305936 is 583044.

It is a perfect power (a square), and thus also a powerful number.

339940305936 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 40 + 3 + 0 + 593 + 6 = 666.

It is a super-2 number, since 2×339940305936² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (339940305937) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 538732341 + ... + 538732971.

Almost surely, 2^339940305936 is an apocalyptic number.

339940305936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

339940305936 is the 583044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339940305936

339940305936 is an abundant number, since it is smaller than the sum of its proper divisors (878429336463).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

339940305936 is a wasteful number, since it uses less digits than its factorization.

339940305936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 54.

The spelling of 339940305936 in words is "three hundred thirty-nine billion, nine hundred forty million, three hundred five thousand, nine hundred thirty-six".